Probabilistic aspects of Al-Salam–Chihara polynomials

By Wlodzimierz Bryc, W. Matysiak, P. Szabłowski. 2003

71 citations recorded by the source corpus.

We solve the connection coefficient problem between the Al-Salam-Chihara polynomials and the q-Hermite polynomials, and we use the resulting identity to answer a question from probability theory. We also derive the distribution of some Al-Salam-Chihara polynomials, and compute determinants of related Hankel matrices.

Subfields: Algebra and Number Theory, Applied Mathematics, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/581b6977d2201bd8b33583719211f1b078980bd5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. J. Wesołowski
2. Wlodzimierz Bryc

In Applied Mathematics

1. Wlodzimierz Bryc
2. J. Wesołowski
3. M. Bożejko

In Discrete Mathematics and Combinatorics

1. J. Wesołowski
2. Wlodzimierz Bryc

Citations in the corpus

• Conditional moments of q-Meixner processes (2004, methodology): “We will need two algebraic identities; the first one resembles [2, (2.3)] but is in fact different; the second one is a slight generalization of [ 18, Theorem 1 ].”